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Finding the Fourth Proportional to 417,779.20, 626,438.40 and 168,179.20

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Solution

The fourth proportional to 417,779.20, 626,438.40 and 168,179.20 is: 252,176.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,779.20 : 626,438.40 = 168,179.20 : x
  2. Step 2: Convert to fraction form
    417,779.20/626,438.40 = 168,179.20/x
  3. Step 3: Cross multiply
    417,779.20x = 626,438.40 × 168,179.20
  4. Step 4: Simplify right side
    417,779.20x = 105,353,908,961.28
  5. Step 5: Solve for x
    x = 105,353,908,961.28/417,779.20
  6. Step 6: Final answer
    x = 252,176.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.